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6606406840 = 23511231076101
BaseRepresentation
bin1100010011100010…
…11100010010111000
3122001102010020110211
412021301130102320
5102012220004330
63011314120504
7322466350225
oct61161342270
918042106424
106606406840
112890165270
121344580134
138138c8897
1446958294c
15289ebdd2a
hex189c5c4b8

6606406840 has 128 divisors (see below), whose sum is σ = 17081694720. Its totient is φ = 2276032000.

The previous prime is 6606406813. The next prime is 6606406843. The reversal of 6606406840 is 486046066.

It is a super-2 number, since 2×66064068402 = 87289222671197571200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 6606406793 and 6606406802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6606406843) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1079790 + ... + 1085890.

It is an arithmetic number, because the mean of its divisors is an integer number (133450740).

Almost surely, 26606406840 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6606406840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8540847360).

6606406840 is an abundant number, since it is smaller than the sum of its proper divisors (10475287880).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6606406840 is a wasteful number, since it uses less digits than its factorization.

6606406840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6253 (or 6249 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 40.

The square root of 6606406840 is about 81279.8058560673. The cubic root of 6606406840 is about 1876.3842189746.

The spelling of 6606406840 in words is "six billion, six hundred six million, four hundred six thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 23 40 44 46 55 88 92 107 110 115 184 214 220 230 253 428 440 460 506 535 856 920 1012 1070 1177 1265 2024 2140 2354 2461 2530 4280 4708 4922 5060 5885 6101 9416 9844 10120 11770 12202 12305 19688 23540 24404 24610 27071 30505 47080 48808 49220 54142 61010 67111 98440 108284 122020 134222 135355 140323 216568 244040 268444 270710 280646 335555 536888 541420 561292 652807 671110 701615 1082840 1122584 1305614 1342220 1403230 1543553 2611228 2684440 2806460 3087106 3264035 5222456 5612920 6174212 6528070 7180877 7717765 12348424 13056140 14361754 15014561 15435530 26112280 28723508 30029122 30871060 35904385 57447016 60058244 61742120 71808770 75072805 120116488 143617540 150145610 165160171 287235080 300291220 330320342 600582440 660640684 825800855 1321281368 1651601710 3303203420 6606406840